In a secondary school mathematics teaching methods course, a research team engaged 22 preservice secondary teachers (PSTs) in designing and posing tasks to algebra students through weekly letter writing. The goal of the tasks was for PSTs to elicit responses that would indicate student engagement in the mathematical processes described by NCTM…

This article summarises a doctoral thesis entitled "Learning algebra in a computer algebra environment, design research on the understanding of the concept of parameter" (Drijvers, 2003). It describes the research questions, the theoretical framework, the methodology and the results of the study. The focus of the study is on the…

In this paper we present a study conducted within the framework of an in-service professional development program for junior and senior high school mathematics teachers. The focus of the study is the analysis of processes encountered by the staff members, as members of a community of practice, which contributed to their growth as teacher…

In this article, we explore the potential of the computer to support curriculum materials development within the context of secondary level science and mathematics education in southern Africa. During the four-year course of the study, a computer program was developed named CASCADE-SEA, which stands for Computer Assisted Curriculum Analysis,…

Problem solving continues to be a major focus of K-12 mathematics education reform. This case study shows how a teacher's middle school mathematics instruction evolved from teaching problem solving as computation exercises to teaching how to select and implement combinations of problem solving strategies. The teacher's thinking about problem…

The importance of algebra instruction has increased in the United States in the past few years. Thus, in most states, middle school students are required to take Algebra 1. Middle school students with math difficulties in inclusion algebra settings may require a different instructional approach. The purpose of this research was to compare student…

The Cognitive Acceleration in Mathematics Education (CAME) project aims to improve children's thinking in mathematics and to enhance their achievement. The learning theory underpinning it is described as "Piaget and Vygotsky in tandem", together with a theory of professional development involving networks of teachers and direct modelling…

The earliest legislation aimed to give comprehensive organization to the Italian education system was the Casati law, from the name of the then Minister for Education Gabrio Casati who drafted it. Promulgated by King Vittorio Emanuele II on 13 November 1859, the new law was designed to reorganize the school system in Piedmont and Lombardy, and was…

The paper is based on research carried out on secondary school students and students commencing their university studies in mathematics. The basic purpose of the research was to investigate the understanding of the concept of a sequence and to determine the sources of the formation of revealed conceptions. To achieve the objectives an expanded set…

The author's secondary school mathematics students have often reported to her that quadratic relations are one of the most conceptually challenging aspects of the high school curriculum. From her own classroom experiences there seemed to be several aspects to the students' challenges. Many students, even in their early secondary education, have…

The 2012 National Survey of Science and Mathematics Education was designed to provide up-to-date information and to identify trends in the areas of teacher background and experience, curriculum and instruction, and the availability and use of instructional resources. A total of 7,752 science and mathematics teachers in schools across the United…

This paper examines what teacher educators, policymakers, and teachers think they know about the current mathematics reforms and what it takes to help teachers engage with these reforms. The analysis is organized around three issues: (1) the "it" envisioned by the reforms; (2) what teachers (and others) bring to learning "it"; (3) what is known…

This document was designed to help teachers and other school district personnel plan and teach Algebra I and Algebra II in the junior high and high schools. An overview of the Algebra I and Algebra II courses presents the philosophy of algebra instruction for Texas schools, the expected use of technology in mathematics instruction, teacher…

This document was designed to help Idaho schools with their development of a K-12 mathematics curriculum and program, and to assist in formulating some realistic goals for themselves and their students. The bulk of the document contains mathematics education standards for each of the grades K-8 and for grades 9-12 as a unit and includes goals,…

This document contains both a student's manual and a teacher's guide for high school mathematics essential to marketing. The student's manual contains 34 assignments within the following 11 units: (1) arithmetic fundamentals; (2) application of arithmetic fundamentals; (3) cashiering; (4) inventory procedures; (5) invoices; (6) computing employee…